Least Common Multiple of 9926 and 9934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9926 and 9934 the smallest integer that is 49302442 that is divisible by both numbers.

Least Common Multiple (LCM) of 9926 and 9934 is 49302442.

LCM(9926,9934) = 49302442

LCM of 9926 and 9934

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9926 and 9934

LCM of 9926 and 9934 is 49302442

Least common multiple can be found by multiplying the highest exponent prime factors of 9926 and 9934. First we will calculate the prime factors of 9926 and 9934.

Prime Factorization of 9926


2 9926
7 4963
709 709
1

Prime factors of 9926 are 2, 7,709. Prime factorization of 9926 in exponential form is:

9926 = 21×71×7091

Prime Factorization of 9934


2 9934
4967 4967
1

Prime factors of 9934 are 2,4967. Prime factorization of 9934 in exponential form is:

9934 = 21×49671

Now multiplying the highest exponent prime factors to calculate the LCM of 9926 and 9934.

LCM(9926,9934) = 21×71×7091×49671
LCM(9926,9934) = 49302442

Factors of 9926

List of positive integer factors of 9926 that divides 9926 without a remainder.

1, 2, 7, 14, 709, 1418, 4963, 9926

Factors of 9934

List of positive integer factors of 9934 that divides 9934 without a remainder.

1, 2, 4967, 9934

Least Common Multiple of 9926 and 9934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9926 and 9934, than apply into the LCM equation.

GCF(9926,9934) = 2
LCM(9926,9934) = ( 9926 × 9934) / 2
LCM(9926,9934) = 98604884 / 2
LCM(9926,9934) = 49302442

Properties of LCM 9926 and 9934

(i) The LCM of 9934 and 9926 is associative

LCM of 9926 and 9934 = LCM of 9934 and 9926

Related Least Common Multiples of 9926

Related Least Common Multiples of 9934

Frequently Asked Questions on LCM of 9926 and 9934

1. What is the LCM of 9926 and 9934?

Answer: LCM of 9926 and 9934 is 49302442.

2. What are the Factors of 9926?

Answer: Factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926. There are 8 integers that are factors of 9926. The greatest factor of 9926 is 9926.

3. What are the Factors of 9934?

Answer: Factors of 9934 are 1, 2, 4967, 9934. There are 4 integers that are factors of 9934. The greatest factor of 9934 is 9934.

4. How to Find the LCM of 9926 and 9934?

Answer:

Least Common Multiple of 9926 and 9934 = 49302442

Step 1: Find the prime factorization of 9926

9926 = 2 x 7 x 709

Step 2: Find the prime factorization of 9934

9934 = 2 x 4967

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 49302442 = 2 x 7 x 709 x 4967

Step 4: Therefore, the least common multiple of 9926 and 9934 is 49302442.